A sufficient condition for the global asymptotic stability of a class of logistic equations with piecewise constant delay

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• 作者：Huaixing Li ; Y. Muroya ; Rong Yuan
• 关键词：Global asymptotic stability ; Piecewise constant delay
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2009
• 出版时间：February 2009
• 年：2009
• 卷：10
• 期：1
• 页码：244-253
• 全文大小：289 K

文摘

For a class of differential equations with piecewise constant delay, we establish sufficient conditions for the unique positive equilibrium to be globally asymptotically stable, which improves the results obtained by the contractivity method and extend the recent result on “Gopalsamy and Liu’s conjecture” to a nonautonomous case.